Kink Solutions for a Class of Generalized Dissipative Equations by Marianna Ruggieri

“…Many physically important nonlinear PDEs can be reduced to nonlinear ODEs by means of reduction techniques. …”
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Limit-Point/Limit-Circle Results for Equations with Damping by M. Bartušek, John R. Graef

“…The authors study the nonlinear limit-point and limit-circle properties for the second order nonlinear damped differential equation (a(t)|y'|p-1y')'+b(t)|y'|q-1y'+r(t)|y|λ-1y=0, where 0<λ≤p≤q, a(t)>0, and r(t)>0. …”
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Mixed Convective-Radiative Dissipative Magnetized Micropolar Nanofluid Flow over a Stretching Surface in Porous Media with Double Stratification and Chemical Reaction Effects: ADM-... by P. K. Pattnaik, M. M. Bhatti, S. R. Mishra, Munawwar Ali Abbas, O. Anwar Bég

“…Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. The nonlinear governing partial differential conservation equations are rendered into nonlinear ordinary differential equations via relevant transformations. …”
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Climate and Soil Properties Drive the Distribution of Minor and Trace Elements in Forest Soils of the Winter Olympic Core Area by Xiaochang Wu, Huayong Zhang, Zhongyu Wang, Wang Tian, Zhao Liu

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Effect of dynamic coupling in an inferior olive neuron model and synchronization by M. R. Tchuisseuh, P. Guemkam Ghomsi, A. C. Chamgoué, F. M. Moukam Kakmeni

“…The dynamical behavior of the new model is analyzed analytically using limit cycle prediction and numerically via the two-dimensional bifurcation diagrams with respect to two essential bifurcation parameters of the model. Taking the nonlinear function parameter a and two parameters from the coupling subsystem, the adaptive coupling parameter γ2 and the master–slave coupling strength b, as essential bifurcation parameters, the results show that a change of one of these parameters gives rise to complex dynamics such as periodic oscillations, period doubling scenarios, and chaotic states characterized by spike-bursting. …”
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Blood Pressure and Heart Rate Variability to Detect Vascular Dysregulation in Glaucoma by Eva Charlotte Koch, Johanna Staab, Matthias Fuest, Katharina Witt, Andreas Voss, Niklas Plange

“…Results. Using nonlinear methods, glaucoma patients were separated with more parameters compared to linear methods. …”
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Personalized recommendation model based on users multi-features fusion by Min LU, Juan HU, Xianchao ZHANG, Weijian DING, Guangxue YUE

“…Personalized recommendation is one of the most effective means to extract specific information.Aiming at the problem that lacking of users feature in traditional recommendation methods, a hybrid recommendation model of generalized matrix factorization and deep long short-term memory network based on multi-features fusion (HMF) was proposed.The model used potential eigenvector factors to characterize the selective impact of age and occupation on the project, highlighting user personalization.Long short-term memory (LSTM) was used to obtain the temporal characteristics between users and projects, and then the deep temporal nonlinear higher-order interaction relationship was mined by multi-layer perceptron.The simple nonlinear low-order interaction obtained by generalized matrix factorization (GMF) was fused with the complex time-series nonlinear high-order interaction, and the final prediction score was obtained through the full connection layer.HMF effectively utilized the user’s multi-feature and user-project interaction information to realize personalized dynamic and accurate recommendation.In order to verify the validity and feasibility of the model, the test was conducted on the public dataset MovieLens-1M.The simulation experiment shows that when the potential eigenvector factors of HMF is 50 and the MLP layer is 7, HR@10 and NDCG@10 are 0.983 1 and 0.974 9 respectively, which are 27.61% and 54.29% higher than the optimal solution of the traditional single feature model NCF.…”
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Fluid-Induced Vibration Elimination of a Rotor/Seal System with the Dynamic Vibration Absorber by Qi Xu, Junkai Niu, Hongliang Yao, Lichao Zhao, Bangchun Wen

“…The simplified rotor model with the absorber is established, and the Muszynska fluid force model is employed for the nonlinear seal force. The numerical method is used for the solutions of the nonlinear differential equations. …”
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Bifurcation Study of Thin Plate with an All-Over Breathing Crack by Lihua Chen, Jian Xue, Zhijie Zhang, Wei Zhang

“…To compare with the effect of breathing crack on the plate, the nonlinear dynamic responses of open-crack plate and intact plate are analyzed too. …”
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Optimal New Sliding Mode Controller Combined with Modified Supertwisting Algorithm for a Perturbed Quadrotor UAV by Yassine El Houm, Ahmed Abbou, Moussa Labbadi, Mohamed Cherkaoui

“…This paper deals with the design of a novel modified supertwisting fast nonlinear sliding mode controller (MSTFNSMC) to stabilize a quadrotor system under time-varying disturbances. …”
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Adaptive and Resilient Flight Control System for a Small Unmanned Aerial System by Gonzalo Garcia, Shahriar Keshmiri

“…Numerically estimated stability and control derivatives are obtained by delta-based methods. New nonlinear guidance logic, stable in Lyapunov sense, is developed to guide the aircraft. …”
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A Simple Chaotic Wien Bridge Oscillator with a Fractional-Order Memristor and Its Combination Synchronization for Efficient Antiattack Capability by Anitha Karthikeyan, Karthikeyan Rajagopal, Victor Kamdoum Tamba, Girma Adam, Ashokkumar Srinivasan

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Flight Loads Prediction of High Aspect Ratio Wing Aircraft Using Multibody Dynamics by Michele Castellani, Jonathan E. Cooper, Yves Lemmens

“…A framework based on multibody dynamics has been developed for the static and dynamic aeroelastic analyses of flexible high aspect ratio wing aircraft subject to structural geometric nonlinearities. Multibody dynamics allows kinematic nonlinearities and nonlinear relationships in the forces definition and is an efficient and promising methodology to model high aspect ratio wings, which are known to be prone to structural nonlinear effects because of the high deflections in flight. …”
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Transmission Error Analysis and Disturbance Optimization of Two-Stage Spur Gear Space Driven Mechanism with Large Inertia Load by Jianfeng Ma, Chao Li, Lingli Cui

“…For the nonlinear disturbance actual issues of the model space drive mechanism two-stage spur gear system, a nonlinear dynamic model of 14-DOF (degree of freedom) two-stage spur gear with time-varying stiffness and damping was established. …”
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Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate by Minghui Yao, Wei Zhang

“…This paper investigates the multipulse global bifurcations and chaotic dynamics for the nonlinear oscillations of the laminated composite piezoelectric rectangular plate by using an energy phase method in the resonant case. …”
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Significance of Marangoni convection in ethylene glycol base hybrid nanofluid flow with viscous dissipation through a porous medium by Ali Rehman, Ilyas Khan, Sultan Alshehery, Muhammad Sabaoon Khan

“…The authors applied appropriate transformations to convert a collection of dimension form of nonlinear partial differential equations to dimensionless form of nonlinear ordinary differential equations. …”
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Effect of beam-column joints flexibility on the seismic response of setback RC buildings designed according to the Algerian seismic code by Abdallah Yacine Rahmani, Said Hicham Boukhalkhal�, Mohamed Badaoui

“…Three multi-storey RC frames with different setback geometry, including a reference frame, are studied considering the connections as rigid/deformable. The nonlinear static procedure or pushover analysis is used to perform a nonlinear analysis of the studied structures and the results in terms of capacity curve, target displacement, storey drift, storey stiffness and the response reduction factor are presented. …”
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Design of an Error-Based Adaptive Controller for a Flexible Robot Arm Using Dynamic Pole Motion Approach by Ki-Young Song, Madan M. Gupta, Noriyasu Homma

“…The purpose of this novel design approach is to make the system response reasonably fast with no overshoot, where the system may be time varying and nonlinear with only partially known dynamics. The E-BAC is implanted in a system as a nonlinear controller with two dominant dynamic parameters: the dynamic position feedback and the dynamic velocity feedback. …”
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Instantaneous Frequency Identification Using Adaptive Linear Chirplet Transform and Matching Pursuit by Chang Xu, Cong Wang, Jingbo Gao

“…The result shows that it will significantly increase the accuracy of nonlinear frequency trajectory identification.…”
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Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy by V. Т. Erofeenko

“…For solution simplification of the boundary-value problem as a result of exclusion value the entering in nonlinear equation second-order infinitesimal, nonlinear task is transformed into linear task. …”
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